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Simplifying 4(x + -2) + 2 = 8 + -3x + -2 + 9x Reorder the terms: 4(-2 + x) + 2 = 8 + -3x + -2 + 9x (-2 * 4 + x * 4) + 2 = 8 + -3x + -2 + 9x (-8 + 4x) + 2 = 8 + -3x + -2 + 9x Reorder the terms: -8 + 2 + 4x = 8 + -3x + -2 + 9x Combine like terms: -8 + 2 = -6 -6 + 4x = 8 + -3x + -2 + 9x Reorder the terms: -6 + 4x = 8 + -2 + -3x + 9x Combine like terms: 8 + -2 = 6 -6 + 4x = 6 + -3x + 9x Combine like terms: -3x + 9x = 6x -6 + 4x = 6 + 6x Solving -6 + 4x = 6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -6 + 4x + -6x = 6 + 6x + -6x Combine like terms: 4x + -6x = -2x -6 + -2x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -2x = 6 + 0 -6 + -2x = 6 Add '6' to each side of the equation. -6 + 6 + -2x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 6 + 6 -2x = 6 + 6 Combine like terms: 6 + 6 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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